Question

determine the center and radius of the circle. simplify your answers. (x + 0.3)^2 + y^2 = 9.00 part: 0 / 2 part 1 of 2 the center is ( , ).

Explanation:

Step1: Recall circle - standard form

The standard form of a circle equation is $(x - h)^2+(y - k)^2=r^2$, where $(h,k)$ is the center and $r$ is the radius.

Step2: Rewrite the given equation

The given equation $(x + 0.3)^2+y^2 = 9.00$ can be written as $(x-(- 0.3))^2+(y - 0)^2=3^2$.

Step3: Determine the center

Comparing with the standard - form, we have $h=-0.3$ and $k = 0$. So the center of the circle is $(-0.3,0)$.

Step4: Determine the radius

Since $r^2 = 9$, then $r=\sqrt{9}=3$.

Answer:

Center: $(-0.3,0)$
Radius: $3$